Word Problems
A caterer charges $120 to cater a party for 15 people and $200 for 25 people. Assume that the cost, y, is a linear function of the number of x people. Write an equation in slope-intercept form for this function. What does the slope represent? How much would a party for 40 people cost?
$320
8x − 2 = −9 + 7x
-7
(6 − 4) × 49 ÷ 7
14
4(8n + 2)
32n + 8
|k − 10| = 3
13,7
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?
Slope: The amount of pounds per week
Yint: Flat fee
$28
14 = −( p − 8)
-6
10
2 * 7 - ------
(9-4)
12
−6(7k + 11)
−42k − 66
|7 + p| = 7
0, -14
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. What do you think the slope and the yintercept represent? How much money will she make if she baby-sits 5 hours?
$28
−18 − 6k = 6(1 + 3k)
-1
(10 + 2 − 2) × 6 − 1
59
−3(1 + 2v)
-3-6v
41% of 78 is what?
32%
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. In how many days will the water level be 26 feet?
16 days
24a − 22 = −4(1 − 6a)
no solution
(2 + 6 × 2 + 2 − 4) × 2
24
(3 − 7k) ⋅ −2
-6+14k
What percent of 29 is 3?
10.3%
The cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 77 people
$1,250
−5(1 − 5x) + 5(−8x − 2) = −4x − 8x
-5
8
----- * (3 + 6) *3
5 -1
54
(7 + 19b) ⋅ −15
-105-285b
What percent of 33.5 is 21?
62.7%